What is ((a-3/a))/((a+3/a)) ?

The solution to ((a-3/a))/((a+3/a)) is (a^2-3)/(a^2+3)

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simplify ((a-3/a))/((a+3/a))

simplify

\frac{( a - \frac{3}{a} )}{( a + \frac{3}{a} )}

\frac{a ^{2} - 3}{a ^{2} + 3}

Solution steps

\frac{a - \frac{3}{a}}{a + \frac{3}{a}}

Join

a - \frac{3}{a} : \frac{a ^{2} - 3}{a}

= \frac{\frac{a ^{2} - 3}{a}}{a + \frac{3}{a}}

Join

a + \frac{3}{a} : \frac{a ^{2} + 3}{a}

= \frac{\frac{a ^{2} - 3}{a}}{\frac{a ^{2} + 3}{a}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( a ^{2} - 3 ) a}{a ( a ^{2} + 3 )}

Cancel the common factor:

a

= \frac{a ^{2} - 3}{a ^{2} + 3}

(y - 5 x)^{2}

a^{2} + 6 ab + 9 b^{2}

(5 x - 4 y)^{3}

\frac{- 3 x + 21}{- 2 x - 4} \cdot \frac{x ^{2} - 16}{x - 7}

(7 x - 3) (4 + 2 x)

What is ((a-3/a))/((a+3/a)) ?
The solution to ((a-3/a))/((a+3/a)) is (a^2-3)/(a^2+3)